Cross-Kerr interaction in a four-level atomic system

Abstract

We derive the form of the cross-Kerr interaction in a four-level atomic system in the N-configuration. We use time-independent perturbation theory to calculate the eigenenergies and eigenstates of the Schrodinger equation for the system. The system is considered as a perturbation of a Raman resonant three-level lambda scheme for which exact solutions are known. We show that within the strong control field limit the cross-Kerr interaction can arise between two weak probe fields. The strength of this nonlinear coupling is several orders of magnitude larger than that achievable using optical fibres.

5 pages, resubmitted to Physical Review A with clarified style and correction to Fig 1

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• Influence of modal loss on the quantum state generation via cross-Kerr nonlinearity
• Quantum correlations and non-classicality in a system of two coupled vertical external cavity surface emitting lasers